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56336384 = 21313232
BaseRepresentation
bin1101011011101…
…0000000000000
310221000011222202
43112322000000
5103410231014
65331252332
71252565006
oct326720000
9127004882
1056336384
11298893a5
1216a4a0a8
13b896550
1476a6a76
154e2c3de
hex35ba000

56336384 has 84 divisors (see below), whose sum is σ = 126837186. Its totient is φ = 24870912.

The previous prime is 56336383. The next prime is 56336389. The reversal of 56336384 is 48363365.

It can be written as a sum of positive squares in only one way, i.e., 54169600 + 2166784 = 7360^2 + 1472^2 .

It is not an unprimeable number, because it can be changed into a prime (56336381) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2449397 + ... + 2449419.

Almost surely, 256336384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56336384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63418593).

56336384 is an abundant number, since it is smaller than the sum of its proper divisors (70500802).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

56336384 is an equidigital number, since it uses as much as digits as its factorization.

56336384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 38 counting only the distinct ones).

The product of its digits is 155520, while the sum is 38.

The square root of 56336384 is about 7505.7567240086. The cubic root of 56336384 is about 383.3507547638.

The spelling of 56336384 in words is "fifty-six million, three hundred thirty-six thousand, three hundred eighty-four".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 128 184 208 256 299 368 416 512 529 598 736 832 1024 1058 1196 1472 1664 2048 2116 2392 2944 3328 4096 4232 4784 5888 6656 6877 8192 8464 9568 11776 13312 13754 16928 19136 23552 26624 27508 33856 38272 47104 53248 55016 67712 76544 94208 106496 110032 135424 153088 188416 220064 270848 306176 440128 541696 612352 880256 1083392 1224704 1760512 2166784 2449408 3521024 4333568 7042048 14084096 28168192 56336384